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Finding the Fourth Proportional to 465,883.41, 698,326.83 and 241,017.42

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Solution

The fourth proportional to 465,883.41, 698,326.83 and 241,017.42 is: 361,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,883.41 : 698,326.83 = 241,017.42 : x
  2. Step 2: Convert to fraction form
    465,883.41/698,326.83 = 241,017.42/x
  3. Step 3: Cross multiply
    465,883.41x = 698,326.83 × 241,017.42
  4. Step 4: Simplify right side
    465,883.41x = 168,308,930,883.38
  5. Step 5: Solve for x
    x = 168,308,930,883.38/465,883.41
  6. Step 6: Final answer
    x = 361,268.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.